Comments on nonlinear viscosity and Grad's moment method

Details Comments on nonlinear viscosity and Grad's moment method Comments on nonlinear viscosity and Grad's moment method

2002-03-25

arxiv.org/abs/cond-mat/0203499v3

Phys. Rev. E 67, 053201-1-4 (2003)

Physics

Condensed Matter

Statistical Mechanics

4 pages, 1 figure; missing lines in figure corrected; accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.67.053201

It is shown that the steady unidirectional flow with vanishing heat flux considered by B. C. Eu [Phys. Rev. E 65, 031202 (2002)], and earlier by Uribe and Garcia--Colin [Phys. Rev. E 60, 4052 (1999)], is inconsistent with the exact conservation laws of mass, momentum, and energy. The inconsistency does not lie in the assumed symmetry properties of the flow but in the stationarity assumption. The unsteady problem is considered and its solution from the Boltzmann equation for Maxwell molecules is given.

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